Oscillating multiple giants

Suzuki, Ryō

doi:10.1007/jhep04(2021)293

Cited by 4 publications

(2 citation statements)

References 74 publications

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“…In the planar limit, arguments exploiting global symmetries were very helpful in constraining the form of the dilatation operator [35,36]. Similar computations relevant to our study include [37][38][39][40][41]. The studies [37,38] focused on the leading order contribution, while [39][40][41] were focused on the su(2) sector.…”

Section: Jhep05(2022)008 6 Discussionmentioning

confidence: 91%

“…Similar computations relevant to our study include [37][38][39][40][41]. The studies [37,38] focused on the leading order contribution, while [39][40][41] were focused on the su(2) sector. It would be interesting to see if the result (5.50) can be recovered by making use of the su(3) symmetry that is present at one loop, and by making use of su(2|2) symmetry at higher loops.…”

Section: Jhep05(2022)008 6 Discussionmentioning

confidence: 95%

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Interacting emergent Yang-Mills theory

2022

J. High Energ. Phys.

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In this article, subleading (in 1/N) corrections to the action of the one loop dilatation operator in the su(3) sector of $$ \mathcal{N} $$ N = 4 super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton systems, which have a bare dimension ∼ $$ \mathcal{O} $$ O (N) and are a linear combination of restricted Schur polynomials with p = 2 long columns. At the leading order the dilatation operator gives rise to the free part of an emergent Yang-Mills theory, arising from the open string excitations of the giant gravitons. We verify that the terms we study describe interactions between these open string excitations. The interactions have the U(1)×U(1) gauge invariance expected for a pair of separated branes.

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Section: Jhep05(2022)008 6 Discussionmentioning

confidence: 91%

Section: Jhep05(2022)008 6 Discussionmentioning

confidence: 95%

Interacting emergent Yang-Mills theory

2022

J. High Energ. Phys.

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Integrality, duality and finiteness in combinatoric topological strings

Koch

Kemp

et al. 2022

J. High Energ. Phys.

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A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension dR of any irreducible complex representation of G. We show that the integer ratios $$ {\left|G\right|}^2/{d}_R^2 $$ G 2 / d R 2 are combinatorially constructible using finite algorithms which take as input the amplitudes of combinatoric topological strings (G-CTST) of finite groups based on 2D Dijkgraaf-Witten topological field theories (G-TQFT2). The ratios are also shown to be eigenvalues of handle creation operators in G-TQFT2/G-CTST. These strings have recently been discussed as toy models of wormholes and baby universes by Marolf and Maxfield, and Gardiner and Megas. Boundary amplitudes of the G-TQFT2/G-CTST provide algorithms for combinatoric constructions of normalized characters. Stringy S-duality for closed G-CTST gives a dual expansion generated by disconnected entangled surfaces. There are universal relations between G-TQFT2 amplitudes due to the finiteness of the number K of conjugacy classes. These relations can be labelled by Young diagrams and are captured by null states in an inner product constructed by coupling the G-TQFT2 to a universal TQFT2 based on symmetric group algebras. We discuss the scenario of a 3D holographic dual for this coupled theory and the implications of the scenario for the factorization puzzle of 2D/3D holography raised by wormholes in 3D.

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A pedagogical introduction to restricted Schur polynomials with applications to heavy operators

de Mello Koch,

Kim,

Larweh Mahu

2024

Int. J. Mod. Phys. A

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Recent advances in the study of microstates for [Formula: see text]-BPS black holes have inspired renewed interest in the analysis of heavy operators. For these operators, traditional techniques that work effectively in the planar limit are no longer applicable. Methods that are sensitive to finite N effects are required. In particular, trace relations that connect different multi-trace operators must be carefully considered. A powerful approach to tackling this challenge, which utilizes the representation theory of the symmetric group, is provided by restricted Schur polynomials. In this paper, we develop these methods with the goal of providing the background needed for their application to [Formula: see text]-BPS black holes.

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Oscillating multiple giants

Cited by 4 publications

References 74 publications

Interacting emergent Yang-Mills theory

Interacting emergent Yang-Mills theory

Integrality, duality and finiteness in combinatoric topological strings

A pedagogical introduction to restricted Schur polynomials with applications to heavy operators

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